Three non-overlapping domain decomposition methods are proposed for the numerical approximation of time-harmonic Maxwell equations with damping (i.e., in a conductor). For each method convergence is proved and, for the discrete problem, the rate of convergence of the iterative algorithm is shown to be independent of the number of degrees of freedom.
Keywords: time-harmonic Maxwell equations, domain decomposition methods, edge finite elements
@article{M2AN_2001__35_4_825_0,
author = {Rodriguez, Ana Alonso and Valli, Alberto},
title = {Domain decomposition algorithms for time-harmonic {Maxwell} equations with damping},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {825--848},
year = {2001},
publisher = {EDP Sciences},
volume = {35},
number = {4},
mrnumber = {1863282},
zbl = {0993.78018},
language = {en},
url = {https://www.numdam.org/item/M2AN_2001__35_4_825_0/}
}
TY - JOUR AU - Rodriguez, Ana Alonso AU - Valli, Alberto TI - Domain decomposition algorithms for time-harmonic Maxwell equations with damping JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2001 SP - 825 EP - 848 VL - 35 IS - 4 PB - EDP Sciences UR - https://www.numdam.org/item/M2AN_2001__35_4_825_0/ LA - en ID - M2AN_2001__35_4_825_0 ER -
%0 Journal Article %A Rodriguez, Ana Alonso %A Valli, Alberto %T Domain decomposition algorithms for time-harmonic Maxwell equations with damping %J ESAIM: Modélisation mathématique et analyse numérique %D 2001 %P 825-848 %V 35 %N 4 %I EDP Sciences %U https://www.numdam.org/item/M2AN_2001__35_4_825_0/ %G en %F M2AN_2001__35_4_825_0
Rodriguez, Ana Alonso; Valli, Alberto. Domain decomposition algorithms for time-harmonic Maxwell equations with damping. ESAIM: Modélisation mathématique et analyse numérique, Tome 35 (2001) no. 4, pp. 825-848. https://www.numdam.org/item/M2AN_2001__35_4_825_0/
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